As part of the market-leading Graphing Approach series by Larson, Hostetler, and Edwards, Trigonometry: A Graphing Approach, 4/e, provides both students and instructors with a sound mathematics course in an approachable, understandable format. The quality and quantity of the exercises, combined with interesting applications, cutting-edge design, and innovative resources, make teaching easier and help students succeed in mathematics. This edition, intended for trigonometry courses that require the use of a graphing calculator includes a moderate review of algebra to help students entering the course with weak algebra skills.
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Note: Each chapter includes a Chapter Summary, Review Exercises, and a Chapter Test. Prerequisites Introduction to Library of Functions P.1 Real Numbers P.2 The Cartesian Plane and Graphs of Equations P.3 Solving Equations Algebraically and Graphically P.4 Lines in the Plane P.5 Functions P.6 Graphs of Functions P.7 Shifting, Reflecting, and Stretching Graphs P.8 Combinations of Functions P.9 Inverse Functions 1. Trigonometric Functions 1.1 Radian and Degree Measure 1.2 Trigonometric Functions: The Unit Circle 1.3 Right Triangle Trigonometry 1.4 Trigonometric Functions of Any Angle 1.5 Graphs of Sine and Cosine Functions 1.6 Graphs of Other Trigonometric Functions 1.7 Inverse Trigonometric Functions 1.8 Applications and Models 2. Analytic Trigonometry 2.1 Using Fundamental Identities 2.2 Verifying Trigonometric Identities 2.3 Solving Trigonometric Equations 2.4 Sum and Difference Formulas 2.5 Multiple-Angle and Product-to-Sum Formulas 3. Additional Topics in Trigonometry 3.1 Law of Sines 3.2 Law of Cosines 3.3 Vectors in the Plane 3.4 Vectors and Dot Products Cumulative Test: Chapters 1-3 4. Complex Numbers 4.1 Complex Numbers 4.2 Complex Solutions of Equations 4.3 Trigonometric Form of a Complex Number 4.4 DeMoivre's Theorem 5. Analytic Geometry: Conics 5.1 Introduction to Conics: Parabolas 5.2 Ellipses 5.3 Hyperbolas 5.4 Rotation and Systems of Quadratic Equations 6. Topics in Analytic Geometry 6.1 Parametric Equations 6.2 Polar Coordinates 6.3 Graphs of Polar Equations 6.4 Polar Equations of Conics 6.5 The Three-Dimensional Coordinate System 6.6 Vectors in Space 6.7 The Cross Product of Two Vectors 7. Exponential and Logarithmic Functions 7.1 Exponential Functions and Their Graphs 7.2 Logarithmic Functions and Their Graphs 7.3 Properties of Logarithms 7.4 Solving Exponential and Logarithmic Equations 7.5 Exponential and Logarithmic Models Cumulative Test: Chapters 4-7 Appendices A. Technology Support Guide B. Proofs of Selected Theorems C. Measures of Central Tendency and Dispersion D. Solving Linear Equations and Inequalities E. Exploring Data E.1 Representing Data Graphically E.2 Linear Models and Scatter Plots E.3 Nonlinear Models
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978-0-618-39458-6 (9780618394586)
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Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2014 William Holmes McGuffey Longevity Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, the 2014 Text and Academic Authors Association TEXTY Award for PRECALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning. The Pennsylvania State University, The Behrend College Bio: Robert P. Hostetler received his Ph.D. in mathematics from The Pennsylvania State University in 1970. He has taught at Penn State for many years and has authored several calculus, precalculus, and intermediate algebra textbooks. His teaching specialties include remedial algebra, calculus, and math education, and his research interests include mathematics education and textbooks. Dr. Bruce H. Edwards is Professor of Mathematics at the University of Florida. Professor Edwards received his B.S. in Mathematics from Stanford University and his Ph.D. in Mathematics from Dartmouth College. He taught mathematics at a university near Bogota, Colombia, as a Peace Corps volunteer. While teaching at the University of Florida, Professor Edwards has won many teaching awards, including Teacher of the Year in the College of Liberal Arts and Sciences, Liberal Arts and Sciences Student Council Teacher of the Year, and the University of Florida Honors Program Teacher of the Year. He was selected by the Office of Alumni Affairs to be the Distinguished Alumni Professor for 1991-1993. Professor Edwards has taught a variety of mathematics courses at the University of Florida, from first-year calculus to graduate-level classes in algebra and numerical analysis. He has been a frequent speaker at research conferences and meetings of the National Council of Teachers of Mathematics. He has also coauthored a wide range of award winning mathematics textbooks with Professor Ron Larson.
Note: Each chapter includes a Chapter Summary, Review Exercises, and a Chapter Test. Prerequisites Introduction to Library of Functions P.1 Real Numbers P.2 The Cartesian Plane and Graphs of Equations P.3 Solving Equations Algebraically and Graphically P.4 Lines in the Plane P.5 Functions P.6 Graphs of Functions P.7 Shifting, Reflecting, and Stretching Graphs P.8 Combinations of Functions P.9 Inverse Functions 1. Trigonometric Functions 1.1 Radian and Degree Measure 1.2 Trigonometric Functions: The Unit Circle 1.3 Right Triangle Trigonometry 1.4 Trigonometric Functions of Any Angle 1.5 Graphs of Sine and Cosine Functions 1.6 Graphs of Other Trigonometric Functions 1.7 Inverse Trigonometric Functions 1.8 Applications and Models 2. Analytic Trigonometry 2.1 Using Fundamental Identities 2.2 Verifying Trigonometric Identities 2.3 Solving Trigonometric Equations 2.4 Sum and Difference Formulas 2.5 Multiple-Angle and Product-to-Sum Formulas 3. Additional Topics in Trigonometry 3.1 Law of Sines 3.2 Law of Cosines 3.3 Vectors in the Plane 3.4 Vectors and Dot Products Cumulative Test: Chapters 1-3 4. Complex Numbers 4.1 Complex Numbers 4.2 Complex Solutions of Equations 4.3 Trigonometric Form of a Complex Number 4.4 DeMoivre's Theorem 5. Analytic Geometry: Conics 5.1 Introduction to Conics: Parabolas 5.2 Ellipses 5.3 Hyperbolas 5.4 Rotation and Systems of Quadratic Equations 6. Topics in Analytic Geometry 6.1 Parametric Equations 6.2 Polar Coordinates 6.3 Graphs of Polar Equations 6.4 Polar Equations of Conics 6.5 The Three-Dimensional Coordinate System 6.6 Vectors in Space 6.7 The Cross Product of Two Vectors 7. Exponential and Logarithmic Functions 7.1 Exponential Functions and Their Graphs 7.2 Logarithmic Functions and Their Graphs 7.3 Properties of Logarithms 7.4 Solving Exponential and Logarithmic Equations 7.5 Exponential and Logarithmic Models Cumulative Test: Chapters 4-7 Appendices A. Technology Support Guide B. Proofs of Selected Theorems C. Measures of Central Tendency and Dispersion D. Solving Linear Equations and Inequalities E. Exploring Data E.1 Representing Data Graphically E.2 Linear Models and Scatter Plots E.3 Nonlinear Models
